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Least Common Multiple (LCM) of 173 and 15

The least common multiple (LCM) of 173 and 15 is 2595.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 173 and 15?

First, calculate the GCD of 173 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 15 = 11 remainder 8
2 15 ÷ 8 = 1 remainder 7
3 8 ÷ 7 = 1 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 11816638
46 and 1122576
182 and 363276
37 and 421554
121 and 10212342

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